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Finding the Third Proportional to 401,704 and 873,416

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Solution

The third proportional to 401,704 and 873,416 is: 1,899,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,704 : 873,416 = 873,416 : x
  2. Step 2: Convert to fraction form
    401,704/873,416 = 873,416/x
  3. Step 3: Cross multiply
    401,704x = 873,416 × 873,416
  4. Step 4: Simplify right side
    401,704x = 762,855,509,056
  5. Step 5: Solve for x
    x = 762,855,509,056/401,704
  6. Step 6: Final answer
    x = 1,899,048.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.